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Finding the Third Proportional to 3,806 and 8,783

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Solution

The third proportional to 3,806 and 8,783 is: 20,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806 : 8,783 = 8,783 : x
  2. Step 2: Convert to fraction form
    3,806/8,783 = 8,783/x
  3. Step 3: Cross multiply
    3,806x = 8,783 × 8,783
  4. Step 4: Simplify right side
    3,806x = 77,141,089
  5. Step 5: Solve for x
    x = 77,141,089/3,806
  6. Step 6: Final answer
    x = 20,268.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.